What is the Least Common Multiple of 10146 and 10164?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 10146 and 10164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10146 and 10164, than apply into the LCM equation.

GCF(10146,10164) = 6
LCM(10146,10164) = ( 10146 × 10164) / 6
LCM(10146,10164) = 103123944 / 6
LCM(10146,10164) = 17187324

Least Common Multiple (LCM) of 10146 and 10164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10146 and 10164. First we will calculate the prime factors of 10146 and 10164.

Prime Factorization of 10146

Prime Factorization of 10164

Now multiplying the highest exponent prime factors to calculate the LCM of 10146 and 10164.

LCM(10146,10164) = 2² × 3¹ × 19¹ × 89¹ × 7¹ × 11²
LCM(10146,10164) = 17187324